IN DUBIO PRO GEO Statistics : Repeated observations

In geodesy and in other measuring professions a quantity is often measured multiple times under the same conditions, to increase accuracy and reliability. It is assumed that the measured values differ only due to the effect of random independent identically distributed errors. Such measurements are comprehensively evaluated, including all applicable statistical tests. Instead of geodetic measured values also other random samples of that kind may be evaluated.

Note

Probability of type I decision error

Name of series	Measured values
expected value of measurements to be tested a priori standard deviation of measurements to be tested
Name of series	Measured values of the comparative series
expected value of measurements to be tested a priori standard deviation of measurements to be tested

3 more examples

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Author(s)	Title	Year	Type	Pages MByte
Foppe K	Fehlerlehre und Statistik	2016	Educ	94 0.9
Vermeer M	Statistical methods in geodesy	2015	Educ	157 0.1
Lehmann R	On the formulation of the alternative hypothesis for geodetic outlier detection	2013	BasR	14 0.1
Lehmann R	On the formulation of the alternative hypothesis for geodetic outlier detection (postprint)	2013	BasR	20 1.3
Foppe K	Repetorium zur Fehlerlehre und Statistik und Ausgleichungsrechnung	2009	Educ	87 1.9
Lehmann R	Das arithmetische Mittel von Mehrfachmessungen unter Wiederholbedingungen	2008	BasR	5 0.1
Koch KR	Parameterschätzung und Hypothesentests in linearen Modellen	2004	BasR	382 0.1
Tanizaki H	Computational Methods in Statistics and Econometrics	2004	Educ	512 5.5

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